SUSY
An abbreviation for Super-Symmetrical Quantum mechanics.
Consider a QM system with Hamiltonian H and potential V(x) such that H |Ψ> = E |Ψ>
We define a new Hamiltonian H1 in terms of potential V1(x) which is offset by the zero point energy so that:
H1 |0> = 0 ie the enegy of the ground state of H1 is zero.
We define this Hamiltonian in terms of generalized raising and lowering operators A and A dagger such that:
H1 = A_dag A = (p^2/2m) + V1(x)
A = (ip/root(2m)) + W'(x)
Where W(x) is the super potential.
The potential V1(x) can be constructed from the superpotential:
V1(x) = W'(x)^2 - (ћ/root(2m))W"(x)
If we know the H1 ground state Ψ_0(x) then we can derive:
Ψ_0(x) ~ exp(-root(2m)W(x)/ћ)
Which can be used to find the superpotential W(x)
From this superpotential we can derive the partnerpotential V2(x) where:
V2(x) = W'(x)^2 - (ћ/root(2m))W"(x)
which has associated Hamiltonian H2 = A A_dag = (p^2/2m) + V2(x)
This partner potential may allow H2 to have an eigenspectrum which is easier to find. Once this is found we can go from the nth energy level of H2 to the (n+1)th level of H1 by simply applying the A_dag operator. This means we can find the first excited state of H1 by applying A_dag to the ground state of H2.
Note: I wrote this while in class and the prof was talking about some really complex shit I wasn't paying attention to so now I'm fucked for the exam next week.
But sugondese amirite?
At least we still got us a woodshed!
Consider a QM system with Hamiltonian H and potential V(x) such that H |Ψ> = E |Ψ>
We define a new Hamiltonian H1 in terms of potential V1(x) which is offset by the zero point energy so that:
H1 |0> = 0 ie the enegy of the ground state of H1 is zero.
We define this Hamiltonian in terms of generalized raising and lowering operators A and A dagger such that:
H1 = A_dag A = (p^2/2m) + V1(x)
A = (ip/root(2m)) + W'(x)
Where W(x) is the super potential.
The potential V1(x) can be constructed from the superpotential:
V1(x) = W'(x)^2 - (ћ/root(2m))W"(x)
If we know the H1 ground state Ψ_0(x) then we can derive:
Ψ_0(x) ~ exp(-root(2m)W(x)/ћ)
Which can be used to find the superpotential W(x)
From this superpotential we can derive the partnerpotential V2(x) where:
V2(x) = W'(x)^2 - (ћ/root(2m))W"(x)
which has associated Hamiltonian H2 = A A_dag = (p^2/2m) + V2(x)
This partner potential may allow H2 to have an eigenspectrum which is easier to find. Once this is found we can go from the nth energy level of H2 to the (n+1)th level of H1 by simply applying the A_dag operator. This means we can find the first excited state of H1 by applying A_dag to the ground state of H2.
Note: I wrote this while in class and the prof was talking about some really complex shit I wasn't paying attention to so now I'm fucked for the exam next week.
But sugondese amirite?
At least we still got us a woodshed!
Guy one: Look at that physicist fuck over there doing SUSY.
Guy two: Damn straight brother I hear SUSY sucks a lot.
Guy one: Hell yeah she does!
Guy two: Damn straight brother I hear SUSY sucks a lot.
Guy one: Hell yeah she does!
Susie
Susie is beautiful and intelligent girl with a great personality and huge booty. She is funny and sweet and did I mention gorgeous? Every guy wants her but she only belongs to one guy.
I want Susie
Susie
One of the coolest girls alive. Always fun to be around. Make great sisters and friends. Susies are usually funny, smart, nice and energetic. Crazy at times. Throws great parties and is overall one of the best. If you know one or have one as a sister consider yourself lucky!
Jimmy: Who's that awesome girl?
Fred: I don't know, she must be a susie.
Fred: I don't know, she must be a susie.
Susie
Susies are simply sweet. Girls with this name are classy, intelligent, adventurous, dreamers, hard working, selfless, driven, romantic and funny. Susies make the best guests because they're respectful of other peoples space.
mother to son: Your new girlfriend is really lovely. She even helped me cook dinner. She must be a Susie.
susie
The smartest girl alive.Susie is very intelligent, she doesn't know this but i am in love with her and her sarcastic jokes.Animal jam is her favorite game and she thinks she is ugly..as if!!!!
susie: ugh boys i hate them.
boys: ahhhh i love her .
boys: ahhhh i love her .
Susi
Sexy girl with a good taste in music
Have you seen her over there?
Yeah, she's Susi :D
Yeah, she's Susi :D
Susy
The sexyest Girl everrr damn how did she get so fine?
Susy!